I cant find any info on this model on the internet and I had an incident where I ran my new Air injector (single tank that draws air in through its head during regeneration) and ran its first regen which includes a 28 min air draw with all of the bypass valves that go to the air injector itself closed on accident. And then my pump started short cycling every 3 seconds and overheating. I turned its power off and let it cool down for a few hours. I know I got air into my pipes from the bypass valves being closed, as later the shower water was revving and my hot water heater bubbled and my pump was short cycling again. I ran the outside spigot and a few others to help air escape. But my pump is still acting funny. I ran the shower again, And water pressure was good, but the pump was short cycling, except this time less frequently with more time in-between turning on and off and the pressure gauge flying back and forth. I ran the shower again, and it went up to 50 psi and stayed there with a steady buzz. Turned off when I turned it off. But I dont feel confident that all is well with my pressure tank now. 

TLDR; I want to know with certainty if anyone is willing to help to tell me if this is a bladder tank or a bladderless tank so I know if it needs serviced and how I can check it to make sure the pressure is good and if there’s anything else I need to worry about. I dont trust the contractors in my area so I am trying to learn as much as I can so at least I can tell if they do something incorrectly. 

Does anyone know what kind of pressure tank this is?